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38135450089 = 1124124332
BaseRepresentation
bin100011100001000011…
…001100100111101001
310122102201120120212101
4203201003030213221
51111100133400324
625304051013401
72520013656142
oct434103144751
9118381516771
1038135450089
111519a516100
12748359a261
1337999b15a9
141bbaad0ac9
15ed2e7c944
hex8e10cc9e9

38135450089 has 27 divisors (see below), whose sum is σ = 43064246757. Its totient is φ = 33744902400.

The previous prime is 38135450083. The next prime is 38135450113. The reversal of 38135450089 is 98005453183.

The square root of 38135450089 is 195283.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27279477225 + 10855972864 = 165165^2 + 104192^2 .

It is not a de Polignac number, because 38135450089 - 29 = 38135449577 is a prime.

It is a super-2 number, since 2×381354500892 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38135450083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88072417 + ... + 88072849.

Almost surely, 238135450089 is an apocalyptic number.

38135450089 is the 195283-rd square number.

38135450089 is the 97642-nd centered octagonal number.

It is an amenable number.

38135450089 is a deficient number, since it is larger than the sum of its proper divisors (4928796668).

38135450089 is an frugal number, since it uses more digits than its factorization.

38135450089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 38135450089 in words is "thirty-eight billion, one hundred thirty-five million, four hundred fifty thousand, eighty-nine".

Divisors: 1 11 41 121 433 451 1681 4763 4961 17753 18491 52393 187489 195283 203401 727873 2062379 2148113 7687049 8006603 22686169 84557539 88072633 315169009 930132929 3466859099 38135450089